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Finding the Fourth Proportional to 2,493.76, 3,738.12 and 1,107.84

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Solution

The fourth proportional to 2,493.76, 3,738.12 and 1,107.84 is: 1,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.76 : 3,738.12 = 1,107.84 : x
  2. Step 2: Convert to fraction form
    2,493.76/3,738.12 = 1,107.84/x
  3. Step 3: Cross multiply
    2,493.76x = 3,738.12 × 1,107.84
  4. Step 4: Simplify right side
    2,493.76x = 4,141,238.86
  5. Step 5: Solve for x
    x = 4,141,238.86/2,493.76
  6. Step 6: Final answer
    x = 1,660.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.